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Hyper-reflexivity of free semigroupoid algebras | Frédéric Jaëck
; Stephen C. Power
; | Date: |
12 Nov 2003 | Subject: | Operator Algebras MSC-class: 47L80 | math.OA | Abstract: | As a generalization of the free semigroup algebras considered by Davidson and Pitts, and others, the second author and D.W. Kribs initiated a study of reflexive algebras associated with directed graphs. A free semigroupoid algebra L_G is generated by a family of partial isometries, and initial projections, acting on a generalized Fock space spawned from the directed graph G. We show that if the graph is finite then the algebra L_G is hyper-reflexive. | Source: | arXiv, math.OA/0311201 | Services: | Forum | Review | PDF | Favorites |
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